At the National Baseball Batting Contest, the organizers have set up game booths for the contestants. Richard wants to win a large stuffed animal. The rules of the game are as follows: • You are pitched 5 fastballs, and you must hit them into a fair zone to count. • If you successfully hit all 5 pitches, you win a large stuffed animal. • f you successfully hit 3 or 4 pitches, you win a small stuffed animal. • if you successfully hit 1 or 2 pitches, you win a bat-shaped pencil. • if you miss all the pitches, you do not win a prize. • The game costs $3 to play (each set of 5 fastballs). 1. What are the possible outcomes that Richard can have on his 5 swings? Explain or show how you arrived at your answer?

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At the National Baseball Batting Contest, the organizers have set up game booths for the contestants.
Richard wants to win a large stuffed animal. The rules of the game are as follows:
You are pitched 5 fastballs, and you must hit them into a fair zone to count.
• If you successfully hit all 5 pitches, you win a large stuffed animal.
• f you successfully hit 3 or 4 pitches, you win a small stuffed animal.
• f you successfully hit 1 or 2 pitches, you win a bat-shaped pencil.
• If you miss all the pitches, you do not win a prize. • The game costs $3 to play (each set of 5
fastballs).
1. What are the possible outcomes that Richard can have on his 5 swings? Explain or show how
you arrived at your answer?
2. What is the probability of Richard successfully hitting the following? Justify your answers.
a. All 5 pitches?
b. 4 pitches?
C.
3 pitches?
d. 2 pitches?
e. 1 pitch?
f. O pitches?
Transcribed Image Text:At the National Baseball Batting Contest, the organizers have set up game booths for the contestants. Richard wants to win a large stuffed animal. The rules of the game are as follows: You are pitched 5 fastballs, and you must hit them into a fair zone to count. • If you successfully hit all 5 pitches, you win a large stuffed animal. • f you successfully hit 3 or 4 pitches, you win a small stuffed animal. • f you successfully hit 1 or 2 pitches, you win a bat-shaped pencil. • If you miss all the pitches, you do not win a prize. • The game costs $3 to play (each set of 5 fastballs). 1. What are the possible outcomes that Richard can have on his 5 swings? Explain or show how you arrived at your answer? 2. What is the probability of Richard successfully hitting the following? Justify your answers. a. All 5 pitches? b. 4 pitches? C. 3 pitches? d. 2 pitches? e. 1 pitch? f. O pitches?
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